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Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method

Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method
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Year:    2016

Author:    Bin Chen, Wen Chen, Xing Wei

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 5 : pp. 810–826

Abstract

This article addresses the resolution of the inverse problem for the parameter identification in orthotropic materials with a number of measurements merely on the boundaries. The inverse problem is formulated as an optimization problem of a residual functional which evaluates the differences between the experimental and predicted displacements. The singular boundary method, an integration-free, mathematically simple and boundary-only meshless method, is employed to numerically determine the predicted displacements. The residual functional is minimized by the Levenberg-Marquardt method. Three numerical examples are carried out to illustrate the robustness, efficiency, and accuracy of the proposed scheme. In addition, different levels of noise are added into the boundary conditions to verify the stability of the present methodology.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2015.m904

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 5 : pp. 810–826

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Inverse problems parameter identification meshless method singular boundary method Levenberg-Marquardt method.

Author Details

Bin Chen

Wen Chen

Xing Wei

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